When we factorise an expression, we write it as a ________ of factors....
When we factorise an algebraic expression, we write it as a product of factors. These factors may be numbers, algebraic variables or algebraic expressions.
When we factorise an expression, we write it as a ________ of factors....
Factorization of an Expression
When we factorize an expression, we write it as a product of factors. This process involves finding the factors that can be multiplied together to obtain the given expression.
Definition of Factorization
Factorization is the process of expressing an algebraic expression as a product of its factors. It is the reverse process of multiplication, where we break down a given expression into its constituent factors.
Example
Let's consider an example to understand factorization better. Suppose we have the expression 2x + 4. To factorize this expression, we need to find two numbers that can be multiplied together to give the expression. In this case, the numbers are 2 and x + 2. Therefore, the factorized form of the expression is 2(x + 2).
Importance of Factorization
Factorization is an important concept in algebra as it helps simplify expressions and solve equations. It allows us to break down complex expressions into simpler forms, making it easier to manipulate and solve them.
Product of Factors
When we factorize an expression, we express it as a product of its factors. A product is the result obtained when two or more numbers or expressions are multiplied together. In the context of factorization, the factors are the individual expressions or numbers that, when multiplied together, yield the given expression.
Conclusion
In conclusion, when we factorize an expression, we write it as a product of its factors. This process helps simplify expressions and solve equations. The correct answer to the given question is option 'A' - product.